What is the limit as x approaches-2 of (x^2+8)/(x-2) ?

The limit as x approaches-2 of (x^2+8)/(x-2) is -3

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limit as x approaches-2 of (x^2+8)/(x-2)

x \to - 2 lim (\frac{x ^{2} + 8}{x - 2})

- 3

Solution steps

x \to - 2 lim (\frac{x ^{2} + 8}{x - 2})

Plug in the value

x = - 2

= \frac{( - 2 ) ^{2} + 8}{- 2 - 2}

Simplify

\frac{( - 2 ) ^{2} + 8}{- 2 - 2} : - 3

= - 3

y^{^{''}} = - 3 y - 4 y^{^{'}}

\frac{d y}{d x} = e^{- 2 x + 3 y}

\frac{d}{d x} (tan (\frac{π}{2} x))

\int sec^{3} (x) tan^{3} (x) d x

y^{^{'}} + (1 - \frac{1}{x}) y = x^{2}

What is the limit as x approaches-2 of (x^2+8)/(x-2) ?
The limit as x approaches-2 of (x^2+8)/(x-2) is -3